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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
2/2002

On the biparametric quantum deformation of $GL(2) \otimes GL(1)$

Deepak Parashar

Abstract

We study the biparametric quantum deformation of $GL(2) \otimes GL(1)$ and exhibit its cross-product structure. We derive explicitly the associated dual algebra, i.e., the quantised universal enveloping algebra employing the R-matrix procedure. This facilitates construction of a bicovariant differential calculus which is also shown to have a cross-product structure. Finally, a Jordanian analogue of the deformation is presented as a cross-product algebra.

Received:
Jan 2, 2002
Published:
Jan 2, 2002

Related publications

inJournal
2001 Repository Open Access
Deepak Parashar

On the biparametric quantum deformation of GL(2) x GL(1)

In: Journal of mathematical physics, 42 (2001) 2, pp. 5431-5443